Linear dilaton black holes

Clément, Gérard; Gal’tsov, D.V.; Leygnac, Cédric

doi:10.1103/physrevd.67.024012

Cited by 129 publications

(196 citation statements)

References 34 publications

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“…In this section, we will give a brief review about a class of rotating black hole solution of Einstein-Maxwell-dilaton-axion gravity in four dimensions with the linear dilaton background reported by Clément et al in [56]. The EMDA gravity theory can be considered arising as a truncated version of the bosonic sector of D = 4, N = 4 supergravity theory.…”

Section: Rotating Linear Dilaton Black Holementioning

confidence: 99%

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Holographic dual of linear dilaton black hole in Einstein-Maxwell-dilaton-axion gravity

Ren

2010

J. High Energ. Phys.

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Motivated by the recently proposed Kerr/CFT correspondence, we investigate the holographic dual of the extremal and non-extremal rotating linear dilaton black hole in Einstein-Maxwell-Dilaton-Axion Gravity. For the case of extremal black hole, by imposing the appropriate boundary condition at spatial infinity of the near horizon extremal geometry, the Virasoro algebra of conserved charges associated with the asymptotic symmetry group is obtained. It is shown that the microscopic entropy of the dual conformal field given by Cardy formula exactly agrees with Bekenstein-Hawking entropy of extremal black hole. Then, by rewriting the wave equation of massless scalar field with sufficient low energy as the SL L (2, R) × SL R (2, R) Casimir operator, we find the hidden conformal symmetry of the non-extremal linear dilaton black hole, which implies that the non-extremal rotating linear dilaton black hole is holographically dual to a two dimensional conformal field theory with the non-zero left and right temperatures. Furthermore, it is shown that the entropy of non-extremal black hole can be reproduced by using Cardy formula.

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Section: Rotating Linear Dilaton Black Holementioning

confidence: 99%

“…Using the solution generating technique, the rotating black hole solution is obtained in [56], where the metric without Nut charge is explicitly given by…”

Section: Jhep09(2010)039mentioning

confidence: 99%

Holographic dual of linear dilaton black hole in Einstein-Maxwell-dilaton-axion gravity

Ren

2010

J. High Energ. Phys.

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“…In the presence of Liouville-type potential, static charged black hole solutions have been discovered with positive [6], zero or negative constant curvature horizons [7]. Recently, properties of these black hole solutions which are not asymptotically AdS or dS, have been studied [8]. Also, exact spherically symmetric dyonic black hole solutions in four-dimensional and higher dimensional Einstein-Maxwell-dilaton gravity with Liouville-type potentials have been considered [9].…”

Section: Introductionmentioning

confidence: 99%

“…Also, exact spherically symmetric dyonic black hole solutions in four-dimensional and higher dimensional Einstein-Maxwell-dilaton gravity with Liouville-type potentials have been considered [9]. These exact solutions mentioned above [2,3,4,5,6,7,8,9] are all static. Exact rotating solutions to the Einstein equation coupled to matter fields with curved horizons are difficult to find except in a limited number of cases.…”

Section: Introductionmentioning

confidence: 99%

Magnetic branes in (n+1)-dimensional Einstein-Maxwell-dilaton gravity

2007

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We construct two new classes of spacetimes generated by spinning and traveling magnetic sources in (n+1)-dimensional Einstein-Maxwell-dilaton gravity with Liouville-type potential.These solutions are neither asymptotically flat nor (A)dS. The first class of solutions which yields a (n + 1)-dimensional spacetime with a longitudinal magnetic field and k rotation parameters have no curvature singularity and no horizons, but have a conic geometry. We show that when one or more of the rotation parameters are nonzero, the spinning branes has a net electric charge that is proportional to the magnitude of the rotation parameters.The second class of solutions yields a static spacetime with an angular magnetic field, and have no curvature singularity, no horizons, and no conical singularity. Although one may add linear momentum to the second class of solutions by a boost transformation, one does not obtain a new solution. We find that the net electric charge of these traveling branes with one or more nonzero boost parameters is proportional to the magnitude of the velocity of the branes. We also use the counterterm method and calculate the conserved quantities of the solutions.

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“…The second case is to study bosonic field perturbation in black hole background with Dirichlet boundary condition at the asymptotic infinity. These background spacetimes include the rotating black holes in AdS spacetime [23][24][25][26][27][28][29], in Gödel universe [30,31], and in the linear dilaton background [32,33]. In all these cases, superradiance will trigger the instabilities of rotating black holes plus bosonic field perturbation.…”

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confidence: 99%

Superradiant Instability of D-Dimensional Reissner—Nordström Black Hole Mirror System*

Kun²,

Zhang³

2015

Commun. Theor. Phys.

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We analytically study the superradiant instability of charged massless scalar field in the background of D-dimensional Reissner-Nordström (RN) black hole caused by mirror-like boundary condition. By using the asymptotic matching method to solve the Klein-Gordon equation that govern the dynamics of scalar field, we have derived the expressions of complex parts of boxed quasinormal frequencies, and shown they are positive in the regime of superradiance. This indicates the charged scalar field is unstable in D-dimensional Reissner-Nordström (RN) black hole surrounded by mirror. However, the numerical work to calculate the boxed quasinormal frequencies in this system is still required in the future. [2][3][4][5] in 70s last century. When an impinging bosonic wave with frequency satisfying superradiant condition is scattered by event horizon of rotating black hole, the scattered wave will be amplified. If one places a reflecting mirror outside of the black hole, the amplified wave will be reflected into the black hole once again. So it is obvious that the bosonic wave will be bounced back and forth between event horizon and mirror. Meanwhile, the energy of the wave can become sufficiently large in this black hole mirror system until the reflecting mirror is destroyed.Recent studies of black hole bomb mechanism was initiated by Cardoso et. al. in [6]. See also the Refs. [7][8][9][10][11][12] for the recent studies on this topic. Black hole bomb mechanism can also be realized in the following two cases. In the first case, the mass term of bosonic field plays the role of reflecting mirror, for example, the systems investigated in [13][14][15][16][17][18][19][20][21][22]. The second case is to study bosonic field perturbation in black hole background with Dirichlet boundary condition at the asymptotic infinity. These background spacetimes include the rotating black holes in AdS spacetime [23][24][25][26][27][28][29], in Gödel universe [30,31], and in the linear dilaton background [32,33]. In all these cases, superradiance will trigger the instabilities of rotating black holes plus bosonic field perturbation.For a charged scalar wave in the background of spherical symmetric charged black hole, the wave scattered by event horizon will also undergo superradiant process if the frequency of this impinging wave satisfying superradiant condition [34]. However, it was proved by Hod in [35,36] that, for four dimensional RN black holes, the existence of a trapping potential well outside black hole and superradiant amplification of trapped modes cannot be satisfied simultaneously. This means that the four dimensional RN black holes are stable under the perturbations * Corresponding author. Electronic mail: 021149@htu.cn of massive charged scalar fields. Soon after, Degollado et. al. [37,38] found that the same system can be made unstable by adding a mirror-like boundary condition like the case of the Kerr black hole. In [39], we also shown that the mass term of scalar field in charged stringy black hole is never able to generate a...

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Linear dilaton black holes

Cited by 129 publications

References 34 publications

Holographic dual of linear dilaton black hole in Einstein-Maxwell-dilaton-axion gravity

Holographic dual of linear dilaton black hole in Einstein-Maxwell-dilaton-axion gravity

Magnetic branes in (n+1)-dimensional Einstein-Maxwell-dilaton gravity

Superradiant Instability of D-Dimensional Reissner—Nordström Black Hole Mirror System*

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